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Finding the Fourth Proportional to 4,671.42, 7,007.16 and 1,208.67

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Solution

The fourth proportional to 4,671.42, 7,007.16 and 1,208.67 is: 1,813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.42 : 7,007.16 = 1,208.67 : x
  2. Step 2: Convert to fraction form
    4,671.42/7,007.16 = 1,208.67/x
  3. Step 3: Cross multiply
    4,671.42x = 7,007.16 × 1,208.67
  4. Step 4: Simplify right side
    4,671.42x = 8,469,354.95
  5. Step 5: Solve for x
    x = 8,469,354.95/4,671.42
  6. Step 6: Final answer
    x = 1,813.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.